naa a22 4500 510809715 CHVBK 20180411083436.0 cr unu---uuuuu 180411e20131101xx s 000 0 eng 10.1134/S1064230713060105 doi (NATIONALLICENCE)springer-10.1134/S1064230713060105 Global search in a noncovex optimal control problem [Elektronische Daten] [A. Strekalovsky, M. Yanulevich] A nonconvex optimal control problem with the Bolza objective functional is considered. The objective functional is specified by functions represented by the difference of two convex functions (Alexandrov functions). New necessary and sufficient global optimality conditions for minimizing sequences of controls are proved. These conditions provide the basis for a theoretical method for finding global optimal controls; the global convergence of this method is proved. Pleiades Publishing, Ltd., 2013 Strekalovsky A. Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 134, 664033, Irkutsk, Russia aut Yanulevich M. Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 134, 664033, Irkutsk, Russia aut Journal of Computer and Systems Sciences International Springer US; http://www.springer-ny.com 52/6(2013-11-01), 893-908 1064-2307 52:6<893 2013 52 11488 https://doi.org/10.1134/S1064230713060105 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S1064230713060105 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Strekalovsky A. Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 134, 664033, Irkutsk, Russia aut NATIONALLICENCE 700 1- Yanulevich M. Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 134, 664033, Irkutsk, Russia aut NATIONALLICENCE 773 0- Journal of Computer and Systems Sciences International Springer US; http://www.springer-ny.com 52/6(2013-11-01), 893-908 1064-2307 52:6<893 2013 52 11488 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer